WILL MARK BRAINLIEST HELP ASAP!! A caterpillar crawling in a straight line across a coordinate plane starts at point (—3, —4) and ends at point (25, 38). Counting the start point and end point, how many points with integer coordinates does the caterpillar touch?

Answers

Answer 1

Answer:

15

Step-by-step explanation:

The slope = [tex]\frac{change in y}{change in x} =\frac{38+4}{25+3} =\frac{42}{28} =\frac{3}{2}[/tex]

This means that when the caterpiller moves 2 units to the right, it moves 3 units up.  Since 42/3 = 28/2 = 14. this happens 14 times from (-3, -4) to (25, 28).   Counting the starting point (-3, -4) we get 14 + 1 = 15 points with integer coordinates.


Related Questions

please help !!!! The leg of a right triangle is 2 units and the hypotenuse is 5 units. What is the length, in units, of the other leg of the triangle?
3

Square root of 29

Square root of 21

7

Answers

Answer:

[tex]\sqrt{21}[/tex]

Step-by-step explanation:

Use the pythagorean theoreom, a^2+b^2=c^2.

We know the hypontenuse and one of the sdes

a^2+2^2=5^2

a^2+4=25

subract four from both sides to isolate variable

a^2=21

square root both sides and you have the answer of sq root 21!

Edit: the answer for your next question is the last one b/c it satisfies the Pythagorean Theorem

An Airbus A320 jet flies 5 hours west with a 40-mph tailwind. Returning against the wind takes 7 hours. Find the speed of the jet with no wind.

Answers

Answer:

The speed of the jet with no wind is 240 miles per hour.

Step-by-step explanation:

The speed of the jet with no wind is equivalent to the speed of the jet relative to wind. Physically speaking, we have the following system of linear equations under the assumption that both speeds of wind and jet are constant:

In favor of wind

[tex]\frac{s}{t_{F}} = v_{W}+v_{J/W}[/tex] (1)

Against wind

[tex]-\frac{s}{t_{A}} = v_{W} -v_{J/W}[/tex] (2)

Where:

[tex]s[/tex] - Travelled distance, measured in miles.

[tex]t_{F}[/tex], [tex]t_{A}[/tex] - Time, measured in hours.

[tex]v_{W}[/tex] - Wind speed, measured in miles per hour.

[tex]v_{J/W}[/tex] - Jet speed relative to wind, measured in miles per hour.

If we know that [tex]t_{F} = 5\,h[/tex], [tex]t_{A} = 7\,h[/tex], [tex]v_{W} = 40\,\frac{mi}{h}[/tex], then the speed of the jet with no wind is:

[tex]\frac{s}{5} = 40 + v_{J/W}[/tex] (3)

[tex]-\frac{s}{7} = 40-v_{J/W}[/tex] (4)

[tex]\frac{s}{5}-40 = 40 +\frac{s}{7}[/tex]

[tex]\frac{s}{5}-\frac{s}{7} = 80[/tex]

[tex]\frac{7\cdot s - 5\cdot s}{35} = 80[/tex]

[tex]2\cdot s = 2800[/tex]

[tex]s = 1400\,mi[/tex]

From (3), we find that speed of the jet with no wind is:

[tex]v_{J/W} = \frac{s}{5}-40[/tex]

[tex]v_{J/W} = \frac{1400}{5}-40[/tex]

[tex]v_{J/W} = 240\,\frac{mi}{h}[/tex]

The speed of the jet with no wind is 240 miles per hour.

The median household income in the US grew linearly from approximately $30, 000 in 1990 to $48, 000 in 2006. Let x be the number of years since 1990. Express the median income as a function of x. Use this function to approximate the median income in 2030. What is the significance of the slope of this function

Answers

Answer:

[tex]y = 1125x+30000[/tex] --- The equation

The median income in 2030 is $75000

Step-by-step explanation:

Given

Represent years since 1990 with x and the income with y.

So, we have:

[tex](x_1,y_1) = (0,30000)[/tex] --- In 1990

[tex](x_2,y_2) = (16,48000)[/tex] --- In 2006

Solving (a): Express as a function.

First, we calculate the slope

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{48000-30000}{16-0}[/tex]

[tex]m = \frac{18000}{16}[/tex]

[tex]m = 1125[/tex]

The equation is then calculated as:

[tex]y = m(x-x_1)+y_1[/tex]

This gives:

[tex]y = 1125(x-0)+30000[/tex]

Open bracket

[tex]y = 1125x-0+30000[/tex]

[tex]y = 1125x+30000[/tex]

Solving (b): Income in 2030.

In 2030, x = 40.

Substitute 40 for x in [tex]y = 1125x+30000[/tex]

[tex]y = 1125*40 +30000[/tex]

[tex]y = 45000 +30000[/tex]

[tex]y = 75000[/tex]

Solving (c): The significance of the slope.

In (a), the slope is calculated as 1125.

This implies that the yearly rate is $1125

CEOLATIONS AND INEQUALITIES
Finding angle measures of a triangle given angles with variables
In the triangle below, suppose that m U=(x+9)°, m = (2x+1), and mW=(7x)".
Find the degree measure of each angle in the triangle.

Answers

Answer:

∠U = 26°

∠V = 35°

∠W = 119°

Step-by-step explanation:

Given:

∠U = (x+9)°

∠V = (2x+1)°

∠W = (7x)°

Find:

Value of each angle

Computation:

Using angle sum property

∠U + ∠V + ∠W = 180°

(x+9)° + (2x+1)° + (7x)° = 180°

10x + 10 = 180

x = 17

So,

∠U = (x+9)° = 17 + 9 = 26°

∠V = (2x+1)° = 34 + 1 = 35°

∠W = (7x)° = 7 x 17 = 119°

sam's mother is twice as old as sam. in 12 years sam will be as old as his mother was 12 years ago, how old is sam and his mother now PLZ HELP NOW

Answers

Answer:

Sam will be 24 and his mom U can figure that out

Step-by-step explanation:

Math

Answer:

24

Step-by-step explanation:

`12

Tina is 4 times older than Hanna. The sum of their ages is 40. How old is Hanna?

Answers

Answer:

Hanna is 8 years old.

Step-by-step explanation:

Hanna = x

Tina = 4x

Sum = 40.

Hanna =?

Hanna + Tina = 40

4x + x = 40

5x = 40

x = 40/5

x = 8.

Hanna is 8 years old.

If a triangle has sides of 8, 8, and 6, then it is classified as an _____ triangle.

Answers

Answer:

right

Step-by-step explanation:

Answer:

Isoceles

Step-by-step explanation:

An isoceles triangle has 2 congruent sides.

What kind of sequence is this?
161, 161, 161, 161, ...
arithmetic
geometric
both
neither

Answers

Answer:

arithmetic sequence

is my answer

Divide the following. Put your answer in
scientific notation.

(77) divided by (4.9 X10^6)

Answers

Answer:

1.225 × 10 to the power 5 + 3.655 × 10³ = 1.26155 x 10 to the power 5

Step-by-step explanation:

Standard Notation:

122500 + 3655 = 1.26155 x 10 to the power 5

Scientific Notation:

1.225 × 10 to the power 5 + 3.655 × 10³ = 1.26155 x 10 to the power 5

E Notation:

1.225e5 + 3.655e3 = 1.26155e5

There are 10 years in 1 decade. Deron is 2 decades, 4 years, and 8 months old. His brother John is half as old. How old is John?

Answers

Answer:

John is 1 decade, 2 years, and 4 months old

Step-by-step explanation:

Since we knot that John is half as old we just have to divide Derons age by two, and we will do that by dividing the number of decades, a number of years, and a number of months by two, and so we get that John is...

(2/2) decades, (4/2) years, and (8/2) months old =

= 1 decades, 2 years, and 4 months old

John is 1 decades, 2 years, and 4 months years old.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

There are 10 years in 1 decade.

And, Deron is 2 decades, 4 years, and 8 months old.

Since, His brother John is half as old.

Hence, Age of John is,

⇒ (2 decades, 4 years, and 8 months) / 2

⇒ 1 decades, 2 years, and 4 months

Thus, John is 1 decades, 2 years, and 4 months years old.

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Help quick plzzzzz Plzzzzzzzzzzzzz

Answers

12873t456473892220-209873

15+5=20? I think hope it helps

3/4 x 25 please bro and i need to make this longerrrr

Answers

Answer:

18.75

Step-by-step explanation:

18.75

Write a plan to prove that angle 1 is congruent to angle 2

Answers

Answer:

alternate interior angles

Step-by-step explanation:

<1 is congruent to <2 by alternate interior angles

What value of m gives the system infinitely many solutions?
-X + 4y = 32
y = mx + 8

Answers

4y=32+x

y=32+x/4

32+x/4=mx+8

32+x=4mx+32

32-32+x=4mx

x=4mx

x/:=4m

1=4m

m=1/4


If y= cx" and dy/dx =
4/root x

what are the values of c and n?

Answers

Answer:

c = 8

n = 1/2

Step-by-step explanation:

Since dy/dx is the derivative form, we can integrate the answer to get the value of y.

The values of c and n are obtained by forming the equations as 1/2 and 8 respectively.

What is differentiation?

The differentiation of a function is defined as rate of change of its value at a point. It can be written as f'(x) = (f(x + h) - f(x)) /(x + h - x).

It can be stated in terms of geometry as the slope of tangent of the function at a given point.

It is given as y = cxⁿ and dy/dx = 4/√x.

Take the derivative of y = cxⁿ with respect to x as,

dy/dx = cd(xⁿ)/dx

⇒ nc × xⁿ⁻¹

Compare the obtained derivative with 4/√x to obtain,

nc = 4   and  n - 1 = -1/2

⇒ n = 1/2 and c = 8

Hence, the values of c and n are 1/2 and 8 respectively.

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Forty families gathered for a fund-raising event. Suppose the individual contribution for each family is normally distributed with a mean and a standard deviation of $120 and $24, respectively. The organizers would call this event a success if the total contributions exceed $5,200. What is the probability that this fund-raising event is a success?

Answers

Answer:

3.51% probability that this fund-raising event is a success

Step-by-step explanation:

In a set with mean  and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

3.51% possibility (20 characters aaa)

If /Il m, what is the value of x?

Answers

Answer:

x= 137 hope it helps have a nice day

Answer:

137

Step-by-step explanation:

180-43 (these two angles plug into all the angles)

7. Which of the following expressions contains like terms?


5xy - 13y


5x - 13xy


5xy - 13x


5xy - 13xy

Answers

Answer:

The last one

Step-by-step explanation:

Due to there being xy's in both terms

what unfortunate mistake did the champion ice skater make with his gold medal

Answers

Answer:

He Had It Bronzed

Step-by-step explanation:

Hope this help pls mark as brainlest!!



Identify the percent of change as an increase or decrease. Then find the percent of
change. Round to the nearest tenth of a percent, if necessary.
$18.75 to $18.60
Answers:
Increase; 15%
Decrease; 0.15%
Decrease: 0.008%
Decrease; 0.8%

Answers

Answer:

Decreasing; 0.8%

Reflect a figure with vertices A(1,2) B (3,6), C(-1,2), and D(-2,-2)
across the x-axis. Find the coordinates of the new image.

A) C(-1,2) --> C' (-1,-2)
B) B(3,6) --> B' (3,-6)
C) A(1,2) --> A' (1,-2)
D) D(-2,-2)--> D' (-2,2)

Answers

Answer:

1,2 = 1,negative2

3,6 = 3,negative 6

-1,2 = negative 1, negative 2

-2,-2 = negative2, 2

Step-by-step explanation:

Sorry all i could do was reflect the coordinates across the x-axis.

The figure reflected along x-axis will have vertices A(1, -2), B (3, -6), C(-1, -2), and D(-2, 2).

What is reflection along the x-axis?

When we reflect a figure along the x-axis the coordinate point of y changes its sign, (x, y) becomes (x, - y).

Think of holding the x-axis with two fingers and rotating it.

Given, we reflect a figure with vertices A(1,2) B (3,6), C(-1,2), and D(-2,-2)

across the x-axis.

∴ The rotated coordinate will be A(1, -2), B (3, -6), C(-1, -2), and D(-2, 2).

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Oscar wants to rent a boat. The rental company charges an initial fee of $12 plus $8 per hour to rent the boat.

a) Write a linear equation to describe the total cost of renting the boat.

b) What is the cost of renting the boat for 5 hours?

Answers

i need points pleaseeeeeeeeee

Answer:

a) y=8x+12

b) $52

Step-by-step explanation:

for a)

the linear cost of this equation is 8, since is asks this amount per hour. The constant is 12, a one time fee. to form the equation, you would use the formula y=mx+b, and substituted in with the given, you get y=8x+12.

for b)

in b, it asks for the cost of renting the boat when x=5, renting the boat for 5 hours. all you have to do is plug in 5 in place of the x in the equation:

y=8x+12

y=8(5)+12

y=40+12

y=52

y - 4= -8 (x - 1)
linear or nonlinear?

Answers

The answer would be it ~linear~

Hope this helps

Have a great day/night!
It’s linear because it going at a constant rate

5 x 1 3/45 * 1 3/4
What is the answer?​

Answers

Hopes this helps:

Answer: 9 1/3

SOMEONE PLZZ HELP, I HAVE A TEST AND DONT KNOW HOW TO DO THIS!!

Answers

I believe it is C.
Good luck!

can anyone help me get the surface area of
2cm
5cm
8cm

Answers

Answer:

according to your question 2cm is length of the rectangle and 5cm width and 8cm height.

so the surface area of rectangle=2(lb+bh+hl)

surface area=2(2×5+5×8+8×2)

SA=2(66)

SA=132cm²

if your figure is cuboid than the answer is this if thi is not cuboid than comment me on comment section.

If f(x) = x3+ x2and g(x) = x4+ x2+ x, what is the value of f(x) –g(x) when x = 1?
A) -2
B) -1
C) 1
D) 5

Answers

Answer:

B) -1

Step-by-step explanation:

[tex]f(x)=x^3+x^2\\\\g(x)=x^4+x^2+x[/tex]

METHOD 1

[tex]f(x)-g(x)=(x^3+x^2)-(x^4+x^2+x)=x^3+x^2-x^4-x^2-x\\\\=-x^4+x^3-x\\\\x=1\\\\-1^4+1^3-1=-1+1-1=-1[/tex]

METHOD 2

[tex]x=1\\\\f(1)=1^3+1^2=1+1=2\\\\g(1)=1^4+1^2+1=1+1+1=3\\\\f(1)-g(1)=2-3=-1[/tex]

what is the equivalent property of 8(4x - 3)

Answers

Answer:

=32x−24

Step-by-step explanation:

Farmer Ben has only ducks and cows 24 in total. He can’t remember how many of each he
has. He knows that the animals have a total of 66 legs. Assuming that each animal has all legs intact
and no extra limbs, how many of each animal does farmer Ben have? Draw a clear diagram to answer
this question.


Help ME and plzz show your work thank you love

Answers

Ok so you have d ducks and c cows. We know d+c=24. Also, since ducks have 2 legs and cows have 4 legs, 2d+4c=66.

We now have a systems of equations to solve for a variable using elimination

2(d+c=24)
1(2d+4c=66)

2d+2c=24
2d+4c=66

-2c=-18
c=9

Now that we have the number of cows, we can easily find the number of ducks by plugging in 9 to the equation c+d=24

9+d=24
d=15

There are 9 cows and 15 ducks.

At a deli, Joe bought 2.2 pounds of coleslaw for $7.15. What was the unit price?

Answers

Answer:

$3.25 for 1 pound of coleslaw

Step-by-step explanation:

i think,.

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